Pith Number

pith:W33MHAON

pith:2016:W33MHAON6UCVAQMXNAJAG6OALY

not attested not anchored not stored refs pending

Complexity theory for spaces of integrable functions

Florian Steinberg

arxiv:1612.06419 v3 · 2016-12-19 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W33MHAON6UCVAQMXNAJAG6OALY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:51:21.724279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f6c381cdf50550419768120379c05e2559cdc970d09ba2aeda9f39c192c038

Aliases

arxiv: 1612.06419 · arxiv_version: 1612.06419v3 · doi: 10.48550/arxiv.1612.06419 · pith_short_12: W33MHAON6UCV · pith_short_16: W33MHAON6UCVAQMX · pith_short_8: W33MHAON

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W33MHAON6UCVAQMXNAJAG6OALY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b6f6c381cdf50550419768120379c05e2559cdc970d09ba2aeda9f39c192c038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3405aa85dad63eddc805e3c74dff61c1c70cf6d034eea533f7bdc73f0b5aafa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-12-19T21:26:22Z",
    "title_canon_sha256": "afbd58f76dcb96f95d7c810ae5755d3af64ce84bec3192df1a1b919c28d0922d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06419",
    "kind": "arxiv",
    "version": 3
  }
}